Question

The factors of x^3 - x^y - xy^2 + y^3

Answer 1

Answer:

(x - y/(x - y)(x + y)

Solution:

Here,

The given polynomial is ;

x³ - x²y - xy² + y³

We need to factorize the given polynomial and find its factors.

Thus,

=> x³ - x²y - xy² + y³

=> x²(x - y) - y²(x - y)

=> (x - y)(x² - y²)

=> (x - y)(x - y)(x + y)

Hence,

The factorized polynomial is ;

(x - y)(x - y)(x + y)

Factors of the given polynomial ;

1

x - y

(x - y)²

(x + y)

(x² - y²)

(x - y/(x - y)(x + y)